Here is the full list of all 60 Jagged Alliance - there are Back in Action achievements.
Kill 100 enemies with melee attacks
Kill all five agents who have the missile launchers
Miguel Cordona becomes king
Kill Deidranna
Stop Dr. Pippin's evil scheme
Liberate Meduna City
Recruit Dr. Vince
Plant 100 mines
Recruit Conrad
Recruit Shank
Recruit Hamous
Throw 100 grenades
Kill an enemy with a mine you planted
Liberate Alma City
Kill a total of 1000 enemies
Kill Rygor Manson and save John Gaiden
Recruit Jamirez
Defeat Silevic and stop the missile launch!
Free Fox from captivity!
Find the dropped crates containing the equipment
Recruit Maddog
Help Richie "The Wizard" Parker find a limited edition of DaHonko Flakes!
Recruit Dimitri
Recruit Carlos
Recruit 100 locals for the militia across several playthroughs
Recruit Devin
Liberate Balime City
Destroy a tank with the rocket launcher
Fire a total of 5000 bullets
Help Fatima and her children
Liberate Grumm City
Pick 10 locks
Recruit Miguel
Hire a total of 6 mercs
Recruit Iggy
Liberate San Mona
Use either smoke, stun, frag and teargas grenades at least once
Kill an enemy with a frag grenade
Open 10 doors with the crowbar
Restore 1000 durability on weapons
Liberate Cambria City
Restore 1000 health
Recruit Ira
Defuse a mine
A single merc received over 100 damage in a single encounter without dying
Plant a mine
Loot over 1000$ across several playthroughs
Use explosives to blast a hole into a wall
Rescue a merc from dying
Recruit a local for the militia
Secure Drassen Airport
Kill an enemy with a melee attack
Blast through 100 walls
Loot over 100000$ across several playthroughs
Buy goods for 1,000,000$ in the online shop
Kill Deidranna within 15 days
Kill Deidranna in tactical mode
Kill Deidranna in high difficulty mode
Find the two dropped crates containing the equipment
Kill 10 enemies using the knife